Matrices

The book offers a comprehensive introduction to matrix theory, enriched with a variety of applications across mathematics, science, and engineering. This second edition features 40% new material, including topics like Dunford decomposition, tensor calculus, and eigenvalue regularity for complex matrices. It integrates algebra, analysis, complexity theory, and numerical analysis, making it a valuable resource for both advanced undergraduate and graduate students pursuing applied or theoretical studies. Based on a course at the École Normale Supérieure de Lyon, it serves as a reliable reference for scientists and mathematicians alike.